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Finding the Fourth Proportional to 25,771.87, 38,659.28 and 8,004.22

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Solution

The fourth proportional to 25,771.87, 38,659.28 and 8,004.22 is: 12,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.87 : 38,659.28 = 8,004.22 : x
  2. Step 2: Convert to fraction form
    25,771.87/38,659.28 = 8,004.22/x
  3. Step 3: Cross multiply
    25,771.87x = 38,659.28 × 8,004.22
  4. Step 4: Simplify right side
    25,771.87x = 309,437,245.49
  5. Step 5: Solve for x
    x = 309,437,245.49/25,771.87
  6. Step 6: Final answer
    x = 12,006.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.